摘要
由纤维复合等材料研制的各种结构的广泛应用，使得其力学性能的研究日趋重要，由于这类材料具有明显的时间效应，因而，必须采用粘弹性理论研究其与时间相关的各种性质．利用动力学的观点和方法，研究了粘弹性基础上两端受压粘弹性直杆的动力稳定性．考虑杆的线性变形，将问题化为等价的四阶常微分方程，分析了方程不动点的稳定性，由此得到杆的蠕变及瞬时临界载荷．讨论了杆失稳的临界时间，并数值计算了杆的动力响应，得到了相应的响应曲线．
With wild applications of various structures made from macromolecular polymers and compound fibers etc., it is important to study its mechanical properties. As their properties evidently depend on the time, the theory of viscoelasticity must be applied for investigation. From the point of view of dynamical system, the dynamical stability of a viscoelastic rod subjected to an axial compressive force on a viscoelastic foundation is studied. In consideration of linear deformation, the problem is reduced to an initial problem of ordinary differential equation. The stability of the stationary solution is studied, and the creep critical load and the instant critical load are determined. Furthermore, the responses of the rod are computed numerically and the corresponding curves are given.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1998年第4期41-46,共6页
Journal of Lanzhou University(Natural Sciences)
关键词
粘弹性基础
动力分析
临界载荷
粘弹性杆
稳定性
viscoelastic foundation dynamical analysis critical load viscoelastic rod
